Go around empty gallery at speed (6)
I believe the answer is:
gyrate
'go around' is the definition.
(gyrating is a kind of going around)
'empty gallery at speed' is the wordplay.
'empty' says to hollow out the word (remove centre letters).
'at' says to put letters next to each other.
'speed' becomes 'rate' (rate is a kind of speed**).
'gallery' with its middle removed is 'gy'.
'gy'+'rate'='GYRATE'
(Other definitions for gyrate that I've seen before include "Move quickly in a spiral" , "Move rapidly in a circle" , "wheel" , "Spiral about a point" , "Spin at speed" .)